Question

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

3r + 10 + r -8 and 8 + 2(2r) - 6

Answer 1

2+4r. Expressions are equivalent.

Explanation:

• 3r + 10 + r -8

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

• 8 + 2(2r) - 6

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r